Similarity High School

Which of the following statements is true about similar triangles?

• The corresponding angles of similar triangles are equal, and the corresponding sides are proportional.

• Similar triangles have congruent corresponding angles and equal corresponding sides.

• Similar triangles have congruent corresponding angles and proportional corresponding sides.

• Similar triangles have congruent corresponding sides and proportional corresponding angles.

If two triangles are similar, then their corresponding angles are:

• Complementary

• Equal

• Supplementary

• Opposite

If two triangles are similar, then their corresponding sides are:

• Equal

• Parallel

• Proportional

• Perpendicular

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are:

• Perpendicular

• Congruent

• Similar

• Parallel

• 32

• 48

• 64

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?

• 84 in

• 71 in

• 47.25 in

• 80

Use the information in the diagram to determine the height of the tree. Remember: lines with the same marks are congruent to each other.

• 80 feet

• 320 feet

• 40 feet

• 160 feet

A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?

• x = 3 ft.

• x = 12 ft.

• x = 120 ft.

• none of the above

• 7

• 112

• 576

• 48

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft